True Coincidence Summing Correction in Gamma Spectroscopy
True Coincidence Summing Correction in Gamma Spectroscopy
True Coincidence Summing Correction in Gamma Spectroscopy
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COI<br />
g<br />
N<br />
p,<br />
g<br />
= (3.13)<br />
N'<br />
p,<br />
g<br />
And therefore, from Equation (3.12), the overall correction factor is given by,<br />
COI<br />
g<br />
= n<br />
∑<br />
ε . n<br />
g<br />
ε<br />
g,<br />
i<br />
COI<br />
i=<br />
1 g,<br />
i<br />
(3.14)<br />
For an <strong>in</strong>f<strong>in</strong>itesimally small subsource volume, the summation <strong>in</strong> equation (3.14) can<br />
be replaced by volume <strong>in</strong>tegration<br />
COI<br />
g<br />
=<br />
∫∫∫<br />
V<br />
ε<br />
COI<br />
ε<br />
g<br />
g,(<br />
xyz)<br />
g,(<br />
xyz)<br />
dxdydz<br />
(3.15)<br />
where<br />
∫∫∫<br />
ε = ε dxdydz<br />
(3.16)<br />
g<br />
V<br />
g,(<br />
xyz)<br />
For each subsource of the volum<strong>in</strong>ous source, the peak efficiency ε g,i is calculated<br />
us<strong>in</strong>g Canberra LabSOCS methodology. This method implies mathematical<br />
techniques for the full energy peak efficiency computation of a Germanium detector<br />
for any source geometry. LabSOCS calibration software is an option of the<br />
application software packages available for Gene 2000 spectroscopy platform. Genie<br />
2000 program is efficiency-curved based, used <strong>in</strong> the Landesmessstelle für<br />
Radioaktivität Bremen for environmental and low-level γ-ray spectrometry.<br />
3.5 Overview of Genie 2000 <strong>Gamma</strong> Analysis Software<br />
Genie 2000 possess a set of capabilities for spectral analysis and acquisition from<br />
Multichannel Analyzers (MCAs). It performs MCA control, spectral display and<br />
manipulation, basic spectrum analysis and report<strong>in</strong>g. Moreover it has options for<br />
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